1. Statistical Analysis of the Randomized Block Design

2. Randomized Blocks Design
R X O
R O
Homogeneous
groups
Need to represent the blocking variable
Dummy code treatment variable

3. Regression Model for Blocking Design
yi = 0 + 1Z1i + 2Z2i + 3Z3i + 4Z4i + ei
where:
yi = outcome score for the ith unit
0 = coefficient for the intercept
1 = mean difference for treatment
2 = blocking coefficient for block 2
3 = blocking coefficient for block 3
4 = blocking coefficient for block 4
Z1i = dummy variable for treatment(0 = control,1= treatment)
Z2i = 1 if block 2, 0 otherwise
Z3i = 1 if block 3, 0 otherwise
Z4i = 1 if block 4, 0 otherwise
ei = residual for the ith unit